This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        0

Total number of variables............................:        2
                     variables with only lower bounds:        1
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        1
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0100000e+00 1.99e+00 0.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  1.1000000e+00 0.00e+00 1.00e-06 1.00e-01  -1.0     -   1.00e+00  1  1h
   2  1.0028285e+00 0.00e+00 2.83e-08 2.83e-03  -2.5     -   1.00e+00  1  1f
   3  1.0001504e+00 0.00e+00 1.50e-09 1.50e-04  -3.8     -   1.00e+00  1  1f
   4  1.0000018e+00 0.00e+00 1.84e-11 1.84e-06  -5.7     -   1.00e+00  1  1f
   5  9.9999999e-01 0.00e+00 2.51e-14 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 5

                                   (scaled)                 (unscaled)
Objective...............:   9.9999999250590355e-01    9.9999999250590355e-01
Dual infeasibility......:   2.5091040356528538e-14    2.5091040356528538e-14
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5059035936244609e-09    2.5059035936244609e-09
Overall NLP error.......:   2.5059035936244609e-09    2.5059035936244609e-09

Number of objective function evaluations              = 6
Number of objective gradient evaluations              = 6
Number of constraint evaluations                      = 6
Number of constraint Jacobian evaluations             = 6
Number of Lagrangian Hessian evaluations              = 5
Number of KKT factorizations                          = 6
Number of KKT backsolves                              = 5

Total wall secs in initialization                     =  0.003 s
Total wall secs in linear solver                      =  0.016 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.010 s
Total wall secs                                       =  0.030 s

EXIT: Optimal Solution Found (tol = 1.0e-08).